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Finding the Fourth Proportional to 426.82, 589.08 and 302.48

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Solution

The fourth proportional to 426.82, 589.08 and 302.48 is: 417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.82 : 589.08 = 302.48 : x
  2. Step 2: Convert to fraction form
    426.82/589.08 = 302.48/x
  3. Step 3: Cross multiply
    426.82x = 589.08 × 302.48
  4. Step 4: Simplify right side
    426.82x = 178,184.92
  5. Step 5: Solve for x
    x = 178,184.92/426.82
  6. Step 6: Final answer
    x = 417.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.